The diadic model of turbulence is an infinite system of ordinary differential equations which represents a simplified form of the Fourier formulation of Euler equations. In this paper we prove a property of anomaluos dissipation for this system, which is fomally conservative. Moreover, we prove the existence of self similar solutions
In this paper we study a stochastic version of an inviscid shell model of turbulence with multiplica...
For the deterministic dyadic model of turbulence, there are examples of initial conditions in l2 whi...
International audienceTime-dependend evolution of hydrodynamic turbulence corresponding to formation...
The diadic model of turbulence is an infinite system of ordinary differential equations which repres...
The diadic model of turbulence is an infinite system of ordinary differential equations which repres...
The diadic model of turbulence is an infinite system of ordinary differential equations which repres...
A shell-type model of an inviscid fluid, previously considered in the literature, is investigated in...
A stochastic version of an inviscid dyadic model of turbulence, with multiplicative noise, is proved...
We study an infinite system of nonlinear differential equations coupled in a tree-like structure. Th...
We study a discrete dissipative dynamical system which presents a transition to turbulence via inter...
We study a generalization of the original tree-indexed dyadic model by Katz and PavloviÄ for the tur...
We calculate the self-similar longitudinal velocity correlation function, the energy spectrum and th...
In this paper we study a stochastic version of an inviscid shell model of turbulence with multiplica...
For the deterministic dyadic model of turbulence, there are examples of initial conditions in l2 whi...
International audienceTime-dependend evolution of hydrodynamic turbulence corresponding to formation...
The diadic model of turbulence is an infinite system of ordinary differential equations which repres...
The diadic model of turbulence is an infinite system of ordinary differential equations which repres...
The diadic model of turbulence is an infinite system of ordinary differential equations which repres...
A shell-type model of an inviscid fluid, previously considered in the literature, is investigated in...
A stochastic version of an inviscid dyadic model of turbulence, with multiplicative noise, is proved...
We study an infinite system of nonlinear differential equations coupled in a tree-like structure. Th...
We study a discrete dissipative dynamical system which presents a transition to turbulence via inter...
We study a generalization of the original tree-indexed dyadic model by Katz and PavloviÄ for the tur...
We calculate the self-similar longitudinal velocity correlation function, the energy spectrum and th...
In this paper we study a stochastic version of an inviscid shell model of turbulence with multiplica...
For the deterministic dyadic model of turbulence, there are examples of initial conditions in l2 whi...
International audienceTime-dependend evolution of hydrodynamic turbulence corresponding to formation...